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<span class="kw">let </span><font color="Maroon" title="c2">X0</font> be  non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="pre_topc.html#M1" title="PRE_TOPC:mode.1">SubSpace</a> of <font color="Maroon" title="c1">X</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> not <font color="Maroon" title="c2">X0</font> is  <a href="tex_3.html#V4" title="TEX_3:attr.4">nowhere_dense</a> </span><br/>

<span class="kw">reconsider </span><font color="Maroon" title="c3">A</font> = the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">X0</font> as   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">X</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="tsep_1.html#T1" title="TSEP_1:th.1">TSEP_1:1</a></span>;<br/>
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not <font color="Maroon" title="c3">A</font> is  <a href="tops_1.html#V3" title="TOPS_1:attr.3">nowhere_dense</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="tex_1.html#D7" title="TEX_1:def.7">TEX_1:def 7</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:71_1_1"/>
not <font color="Maroon" title="c2">X0</font> is  <a href="tex_3.html#V4" title="TEX_3:attr.4">nowhere_dense</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="tex_3.html#T35" target="_self" title="TEX_3:th.35">Th35</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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